Consider a relation R with six attributes ABCDEF. The only functional dependency F1 = A BCDEF holds over R. Your task is to come up with two other functional dependencies, F2 and F3, which satisfy the following three properties. 1) 2) 3) Neither F2 nor F3 can be inferred from F1 using Armstrong's axioms. Relation R with functional dependencies F1 and F2 is in BCNF. Relation R with functional dependencies F1, F2, and F3 is in 3NF but not in BCNF. Write down two functional dependencies F2 and F3 that satisfy the above properties.